Consider the signal x(t) in Figure 1.21.

(a) Plot the even-odd decomposition of x(t), i.e., find and plot the even x_e(t) and the odd x_o(t) components of x(t).

(b) Show that the energy of a signal x(t) can be expressed as the sum of the energies of its even and odd components, i.e., that

(c) Verify that the energy of the given x(t) is equal to the sum of the energies of x_e(t) and x_o(t).

Figure 1.21:

Transcribed Image Text:

= *wdt + ¢»dt x*(t)dt x(1)dt z(t)